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DAGM
2003
Springer

Shape Preservation during Digitization: Tight Bounds Based on the Morphing Distance

9 years 4 months ago
Shape Preservation during Digitization: Tight Bounds Based on the Morphing Distance
We define strong r-similarity and the morphing distance to bound geometric distortions between shapes of equal topology. We then derive a necessary and sufficient condition for a set and its digitizations to be r-similar, regardless of the sampling grid. We also extend these results to certain gray scale images. Our findings are steps towards a theory of shape digitization for real optical systems.
Peer Stelldinger, Ullrich Köthe
Added 06 Jul 2010
Updated 06 Jul 2010
Type Conference
Year 2003
Where DAGM
Authors Peer Stelldinger, Ullrich Köthe
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